Test 1 will cover the material presented in modules 1-3.
You must be able to:
- Mathematically describe a sinusoidal wave and know the relationships
between wavelength, frequency, and speed.
describe electromagnetic waves.
different regions of the electromagnetic spectrum.
- Calculate diffraction patterns produced by a single slit, two slits,
and a diffraction grating.
- Calculate the energy and momentum of the photons associated with an
electromagnetic wave of a given frequency.
- Find the deBroglie wavelength of free particles.
- Use the uncertainty principle to do simple calculations.
- Work with complex variables, convert complex numbers from rectangular to
polar form and from polar to rectangular form and add, subtract, multiply
and divide complex numbers.
- Convert from spherical to rectangular coordinates and vice versa.
- Verify solutions to the time-independent Schroedinger equation.
- Calculate energy levels an transition frequencies for a 1D infinite
- Calculate the energy level of the hydrogen atom and hydrogenic atoms and
interpret the emission spectrum of hydrogen
- Predict possible outcomes of measurements of the electron spin and
discuss consequences and applications.
Prepare for the test by reviewing assignments 1-9.
The practice test is on Blackboard. You can take this practice test as often as you want.
No record of your score will be kept.
You may use a print-out of these formulas during the test. You may also
use a printout of the front inside cover of your textbook. These printouts
will be provided.
The problems on the practice test are very similar to the problems you will
find on Test 1.